Question

Calculate the following divisions with remainders:

a) 730 /32 = 22 with a remainder of 14
b) 940 /28 = 33 with a remainder of 16
c) 614 /15 = 40 with a remainder of 14
d) 4,859 /23 = 211 with a remainder of 6
e) 9,152 /29 = 315 with a remainder of 7
f) 3,164 /45 = 70 with a remainder of 14

Answer 1

The question involves the mathematical concept of calculating divisions with remainders, typically covered in a middle school curriculum. The process involves dividing the number, multiplying the integer result by the divisor, and subtracting this product from the original number to find the remainder.

Step-by-step explanation:

The question requires calculating divisions with remainders. The method to calculate the remainder after division is straightforward: divide the number by the divisor and then subtract the integer result multiplied by the divisor from the original number.

For example, to find the remainder of 730 divided by 32:

1. Divide 730 by 32 to get 22 with some decimal.
2. Multiply the whole number result (22) by the divisor (32) to get 704.
3. Subtract this number from the original number (730) to get the remainder. So, 730 - 704 = 26, not 14 as indicated in the question.

Using this method, you can calculate the correct remainders for the given divisions.